Box spline

In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box…

Papers overview

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2010

The semi-discrete convolution with the Box Spline is an important tool in approximation theory. We give a formula for the…

2006

2005

Certain problems in subdivision surfaces have provided the incentive to look at artifacts. Some of these effects are common to…

2002

The two original refinement algorithms for defining subdivision surfaces were based on the biquadratic and bicubic tensor-product…

1997

The zero set of a trivariate spline is used to blend basic CSG surfaces of algebraic degree up to four. The resulting volume…

1995

To blend be~ween simple implicit surfaces, such as the sphere, the cone, the cylinder and the torus, we propose La locally employ…

1991

We describe a simple method for generating tilings of IR d . The basic tile is defined as := {x ∈ IR d : |f(x)| < |f(x + j)| ∀j…

1991

SummaryWe describe an algorithm for (bivariate) cardinal interpolation which can be applied to translates of “basis functions…

1991

1985